Medal + Fan

Explain how to write a function rule from the table below. Then write a function rule.

x, 2, 4, 6
y, 1, 0, -1

Please help! Thanks! :) This is a bit confusing.

Question

Medal + Fan

Explain how to write a function rule from the table below. Then write a function rule.

x, 2, 4, 6
y, 1, 0, -1

Please help! Thanks! :) This is a bit confusing.

misty1212 · Answer

HI!!

misty1212 · Answer

looks like every time x increases by 2, y decreases by 1 right?

anonymous · Answer

Correct.

misty1212 · Answer

that means you know the slope right away
right 2, down 1, slope is $-\frac{1}{2}$

anonymous · Answer

Ok, I understand.

misty1212 · Answer

now you can write in point slope form
pick any point 
i pick $(0,4)$ so you can do 
$$y=-\frac{1}{2}(x-4)$$ and solve for $y$

anonymous · Answer

Thanks, this is making a lot more sense now. :) So that is the function rule?

misty1212 · Answer

that is one answer, probably better if you distribute on the left

anonymous · Answer

Okay. Thanks so much for your help! I really appreciate it. :)

misty1212 · Answer

$$\color\magenta\heartsuit$$